Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your a
1 answer:
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Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+15x+44 is known as a simple quadratic. It is considered "simple" because x^2 is not greater than 1.
To solve quadratics, you need to factorise them (put them into brackets). You can do this by seeing what 2 numbers multiply to give 44, and add to give 15. I have attached a photograph of me breaking down the number 44 into its multiplying factors, and identifying which factors have the sum of 15.
You can see that I have got the numbers 4 and 11.
I now need to put these numbers into 2 sets of brackets. Remember, the two sets of brackets need to multiply to give x^2+15x+44 when calculated using the grid method.
The two brackets that I have got are (x+4)(x+11), and it doesn't matter which way around you write it.
The lengths of the boards are 6 cm and 8 cm.
The boards make a right angle.
Therefore the string connecting the boards is the hypotenuse of a right triangle (shown n the figure).
By the Pythagorean theorem,
c² = 6² + 8² = 100
c = 10 cm
Answer: c = 10 cm
The boards make a right angle.
Therefore the string connecting the boards is the hypotenuse of a right triangle (shown n the figure).
By the Pythagorean theorem,
c² = 6² + 8² = 100
c = 10 cm
Answer: c = 10 cm